https://file.aiquickdraw.com/mathbot/file/1730717413782d2xay60i.jpg

Let's work through the problems in the image. Here’s a breakdown:

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### Problem 7
**(a)** Write two fractions that are equivalent.
- Possible answer: \(\frac{1}{2}\) and \(\frac{2}{4}\) are equivalent.

**(b)** Write two fractions between \(0\) and \(\frac{8}{16}\).
- Possible answer: \(\frac{3}{16}\) and \(\frac{7}{16}\).

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### Problem 8
**Find four fractions between \(0\) and \(\frac{1}{2}\).**
- Possible answer: \(\frac{1}{8}\), \(\frac{1}{5}\), \(\frac{3}{10}\), and \(\frac{7}{16}\).

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### Problem 9
The size \(\frac{2}{3}\) is marked on a number line.
- Identify the values of \(x\) and \(y\).

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### Problem 10
The size \(\frac{1}{5}\) is marked on a number line.
- Identify the values of \(a\) and \(b\).

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### Problem 11
The size \(\frac{9}{10}\) is marked on a number line.
- Identify the values of \(j\) and \(k\).

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### Problem 12
The size \(\frac{1}{6}\) is marked on a number line.
- Identify the values of \(f\) and \(h\).

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### Problem 13
The size \(\frac{3}{4}\) is marked on a number line.
- Identify the values of \(v\) and \(t\).

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### Problem 14
**(a)** Draw a 10 cm number line and mark ticks every 0.5 cm.
- Draw a number line with ticks spaced at 0.5 cm intervals.

**(b)** Write \(\frac{6}{10}\) as a fraction below each tick.

**(c)** Mark \(\frac{7}{20}\) and \(\frac{12}{20}\) on the number line.

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### Problem 15
**Describe how full each gas tank is.**
- First tank: Around \(\frac{1}{4}\) full.
- Second tank: Around \(\frac{1}{2}\) full.
- Third tank: Close to full, around \(\frac{3}{4}\).

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Let me know if you want more detailed solutions for each part or have any questions.

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**Related Questions for Further Understanding:**
1. What are other examples of equivalent fractions for \(\frac{1}{2}\)?
2. How can you find fractions between any two given fractions?
3. How would you plot decimals between fractions on a number line?
4. How do you simplify fractions, and why is it useful?
5. What are practical examples of fractions in real life, like gas tank levels?

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**Tip:** When comparing fractions, it helps to convert them to have a common denominator. This makes it easier to see which is larger or smaller.

The user has submitted an image containing various mathematical questions related to fractions, number lines, and equivalent fractions.

Learn how to work with fractions and equivalent fractions using a number line. This page covers essential concepts such as finding fractions between two values, representing fractions on a number line, and understanding fuel gauge readings in fraction form. Suitable for Grades 4-6.

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